645,765

3 × 5 × 43051

645,765 factors as 3 × 5 × 43051. Its 8 positive divisors give a proper-divisor sum of 387,483, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3 × 5 × 43051

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,033,248

Proper Divisor Sum 387,483

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #645763 ← → #645787

Radix Representation

Decimal	645765
Binary	10011101101010000101 (20 bits)
Octal	0o2355205
Hexadecimal	0x9DA85

Divisor Catalog (8)

1 3 5 15 43,051 129,153 215,255 645,765

Collatz Trajectory (172 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

645,765 1,937,296 968,648 484,324 242,162 121,081 363,244 181,622 90,811 272,434 136,217 408,652 204,326 102,163 306,490 153,245 459,736 229,868 114,934 57,467 172,402 86,201 258,604 129,302 64,651 193,954 96,977 290,932 145,466 72,733 218,200 109,100 54,550 27,275 81,826 40,913 122,740 61,370 30,685 92,056 46,028 23,014 11,507 34,522 17,261 51,784 25,892 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097

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